Power Rule Derivative Practice

Find the derivative of the given equation

f(x) = x⁴ + 4x³ - 2x²

• f'(x) = x³ + x² - x

• f'(x) = 4x³ + 12x² + 4x

• f'(x) = 4x + 12x - 4x

• f'(x) = 4x³ + 12x² - 4x

What is the derivative of a constant, c?

• c

• 0

• 1

Tags

CCSS.HSF-IF.C.8B

Find the derivative of the given equation

g(x) = 1 - x²

• g'(x) = 1 - 2x

• g'(x) = -2x

• g'(x) = -2

• g'(x) = -1

What is the derivative of xⁿ?

• (n-1)xⁿ

• nxⁿ⁺¹

• nx^n-1

• (n+1)x^n-1

Differentiate h(x) = 3x^5/3 - 6x^1/6 + 3x

• h'(x) = 5x^2/3 - x^-5/6 + 3

• h'(x) = 3x^2/3 - 6x + 3

• h'(x) = 5x^4/3 - 6x + 3

• h'(x) = 3x^4/3 - x^-5/6 + 3

Find the derivative of y = 2x² (3x - 4)

• 6x³ - 8x²
• 18x² - 16x
• 15x² - 6x
• 6x - 4

The derivative of a function is its

• y-intercept
• Maximum/Minimum
• Instantaneous rate of change
• Common Denominator

Tags

CCSS.HSF.IF.B.4

Find the derivative of the given equation
f(x) = -4x

• 4
• x
• -4
• 0